8/30/2023 0 Comments Cepstral william 5.1Furthermore, this work gives new insights into the statistics of the cepstral coefficients derived from chi-distributed spectral amplitudes using tapered spectral analysis windows. The key finding for the proposed power bias compensation method is that the degrees of freedom of chi-distributed spectral amplitudes are directly related to their average cepstral variance. We show that if chi-distributed spectral amplitudes are smoothed in the cepstral domain, the resulting smoothed spectral amplitudes are also approximately chi-distributed but with more degrees of freedom and less signal power. In this paper, we derive the signal power bias that arises when spectral amplitudes are smoothed by reducing their variance in the cepstral domain (often referred to as cepstral smoothing ) and develop a power bias compensation method.
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